x^2 + 24x = 0 add to both sides 12^2 (144)
x^2 + 24x + 12^2 = 12^2 use the formula (a + b)^2 = a^2 + 2ab + b^2;
(x + 12)^2 = 12^2
x + 12 = +, - 12 subtract 12 to both sides;
x = 0 or x = -24
That depends on the equation.
b is the negative sum of the roots of the equation
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots
It will have two equal roots.
Yes. You can calculate the two roots of a quadratic equation by using the quadratic formula, and because there are square roots on the quadratic formula, and if the radicand is not a perfect square, so the answer to that equation has decimal.
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
By using the quadratic equation formula
Using the quadratic equation formula or completing the square
That depends on the equation.
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
Because the square root of the discriminant is a component of the roots of the equation.
2 roots
A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.
The roots of the quadratic equation are the x-intercepts of the curve.
It is finding the values of the variable that make the quadratic equation true.
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.